1023121314 has 64 divisors (see below), whose sum is σ = 2313360000. Its totient is φ = 335131200.

The previous prime is 1023121313. The next prime is 1023121409. The reversal of 1023121314 is 4131213201.

It is a super-2 number, since 2×1023121314² = 2093554446322173192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1023121313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 812017 + ... + 813275.

It is an arithmetic number, because the mean of its divisors is an integer number (36146250).

Almost surely, 2^1023121314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023121314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156680000).

1023121314 is an abundant number, since it is smaller than the sum of its proper divisors (1290238686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023121314 is a wasteful number, since it uses less digits than its factorization.

1023121314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1023121314 is about 31986.2675846995. The cubic root of 1023121314 is about 1007.6484566357.

Adding to 1023121314 its reverse (4131213201), we get a palindrome (5154334515).

The spelling of 1023121314 in words is "one billion, twenty-three million, one hundred twenty-one thousand, three hundred fourteen".